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100102626081 = 3238928592581
BaseRepresentation
bin101110100111010010…
…1001101101100100001
3100120101022202021202200
41131032211031230201
53120002233013311
6113553030403413
710142431165623
oct1351645155441
9316338667680
10100102626081
11394a9360647
1217498200569
139593b62633
144bb8936c13
15290d25c556
hex174e94db21

100102626081 has 12 divisors (see below), whose sum is σ = 144964390740. Its totient is φ = 66563526240.

The previous prime is 100102626059. The next prime is 100102626103. The reversal of 100102626081 is 180626201001.

It is an interprime number because it is at equal distance from previous prime (100102626059) and next prime (100102626103).

It can be written as a sum of positive squares in 2 ways, for example, as 57837845025 + 42264781056 = 240495^2 + 205584^2 .

It is not a de Polignac number, because 100102626081 - 210 = 100102625057 is a prime.

It is a super-2 number, since 2×1001026260812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100102526081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14292790 + ... + 14299791.

It is an arithmetic number, because the mean of its divisors is an integer number (12080365895).

Almost surely, 2100102626081 is an apocalyptic number.

It is an amenable number.

100102626081 is a deficient number, since it is larger than the sum of its proper divisors (44861764659).

100102626081 is a wasteful number, since it uses less digits than its factorization.

100102626081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28592976 (or 28592973 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 100102626081 its reverse (180626201001), we get a palindrome (280728827082).

The spelling of 100102626081 in words is "one hundred billion, one hundred two million, six hundred twenty-six thousand, eighty-one".

Divisors: 1 3 9 389 1167 3501 28592581 85777743 257333229 11122514009 33367542027 100102626081